EIGENVALUE AND EIGENFUNCTION ASYMPTOTICS FOR REGULAR STURM-LIOUVILLE PROBLEMS

被引：73

作者：

FULTON, CT ^{[1
]}

PRUESS, SA ^{[1
]}

机构：

[1] COLORADO SCH MINES,DEPT MATH,GOLDEN,CO 80401

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 188卷 / 01期

关键词：

D O I：

10.1006/jmaa.1994.1429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain asymptotic formulas for eigenvalues, eigenfunctions, and the reciprocals of the eigenfunction norms for eigenvalue problems associated with the general Sturm-Liouville equation (pu')' + (lambda r - q) u = 0 having regular endpoints. The method is based on a conversion to Liouville Normal Form and an iterative procedure of solving the associated Volterra integral equation, producing an asymptotic expansion of the solution in higher powers of 1/lambda(1/2) as lambda --> infinity. (C) 1994 Academic Press, Inc.

引用

页码：297 / 340

页数：44

共 87 条

[11] *EINE UMKEHRUNG DER STURM-LIOUVILLESCHEN EIGENWERTAUFGABE - BESTIMMUNG DER DIFFERENTIALGLEICHUNG DURCH DIE EIGENWERTE [J].